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There are eight contenders for first place. Once this position has been filled there are seven possibilities for 2nd place. Once this position is assigned there are six possibities of third place. So the total possible scenarios of the first three placings in a horse race of eight are 8 x 7 x 6 = 336.

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Q: Eight horses are in a race in how many different ways can the horses place first second and third?
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